Algebraic Methods in Evolutionary Genetics

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1978 English Publisher:WileyJournal:Biometrical Journal, volume 20, pages 511-529 (issn: 0323-3847, eissn: 1521-4036,

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Authors: Lyubich, Yu. I.;

doi: 10.1002/bimj.4710200508

Algebraic Methods in Evolutionary Genetics

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Abstract

AbstractThis paper is a survey of some results obtained in evolutionary genetics by algebraical methods. The main topics: 1. Some special classes of algebras which arising in population genetics (stochastic, baric, BERNSTEINian, genetic etc.). 2. The BERNSTEIN'S problem and the stationary genetic structure. 3. The convergence to an equilibrium, the rate of convergence. 4. The exact linearization of evolutionary equation. 5. The exact formulae for evolutionary spectrum and for solution of the evolutionary equation.

Keywords

Evolutionary Equation, Bernstein's Problem, Genetics and epigenetics, Algebraic Methods, Population Genetics

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